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Finding the Fourth Proportional to 7,531.98, 10,394.48 and 4,174.87

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Solution

The fourth proportional to 7,531.98, 10,394.48 and 4,174.87 is: 5,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.98 : 10,394.48 = 4,174.87 : x
  2. Step 2: Convert to fraction form
    7,531.98/10,394.48 = 4,174.87/x
  3. Step 3: Cross multiply
    7,531.98x = 10,394.48 × 4,174.87
  4. Step 4: Simplify right side
    7,531.98x = 43,395,550.75
  5. Step 5: Solve for x
    x = 43,395,550.75/7,531.98
  6. Step 6: Final answer
    x = 5,761.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.